Course Outline

Math 99 BC Spring 2008

 

 

 

Class 1 Monday, January 14

 

Lecture: Course Information (Syllabus)

About Mathematics (handout)

Basic Operations (1.2 Concept 1)

 

Homework: Questions

Review Set 1

 

 

Class 2 Wednesday, January 16

 

Lecture: Division with Remainder

Division by zero (handout)

List of factors of a number

Prime-Factorization of a Number

Exponents (1.2 Concept 3)

Square Roots (1.2 Concept 4)

Order of Operations (1.2 Concept 5 and handout)

Integers: positive and negative numbers (1.3, 1.4, 1.5)

Absolute value (1.1 Concept 6)

Ordering of real numbers (1.1 Concept 4)

The Real Number System - all 9 axioms (1.6)

Homework: Problem Set 1

 

Quiz 1 will cover

Division with remainder

Division by zero

List of factors of a number

Order of Operations on Natural Numbers

Evaluating Algebraic Expressions with Natural Numbers


 

Class 3 Wednesday, January 23

 

Lecture: Algebraic Expressions 1 Definition, Evaluating (1.2 Concept 2 and handout)

Algebraic Expressions 2 Simplifying

Combining like terms (1.6 Concept 5)

Multiplication of algebraic expressions, FOIL (5.6 Concept 1)

Definition of equation (2.1 Concept 1)

Solutions of equations (2.1 Concept 1 and handout)

Solutions of equations in two variables (3.2 Concept 1 and handout)

Conditional equations, identities, contradictions (2.2 Concept 3)

Graphing inequalities (2.7 Concept 1)

Interval notation (2.7 Concept 2)

Solutions of Inequalities (2.7 Concept 1)

Solutions of Systems of Equations (4.1 Concept 1)

 

Quiz 1

Quiz 2 will cover:

all material covered for Quiz 1

operations on positive and negative numbers

evaluating algebraic expressions

solutions of equations, inequalities, and systems of equations

 

Homework: Problem Sets 2 and 3

 

 

Class 4 Monday, January 28

 

Lecture:

Solving Linear Equations (2.1, 2.2, and 2.3)

Solving Linear Inequalities: (2.7)

Introduction to Polynomials (5.5 Concept 1)

Factoring 1 part 1

Zero Product Rule (6.7 Concepts 1,2, and 3)

Factoring out the Greatest Common Factor or GCF (6.1 Concepts 1, 2, and 3)

The difference of squares theorem (6.5 Concept 1)

 

 

Homework: Problem Set 4

 

Handouts: Integers

Solving Linear Equations

Simplifying Algebraic Expressions

 

 

 

 

 

 

 

 

 

 

Class 5 Wednesday, January 30

 

Lecture: Rational and Irrational numbers (1.1 Concept 3)

The number p (1.1 Concept 3)

Circumference and area of a circle (R.3 Concepts 1 and 2)

Definition of square roots (1.2 Concept 4)

Quiz 2

 

Handouts: Answers for Problem Sets 1, 2, 3, and 4

Exam 1 Information

Review for Exam 1

 

 

Class 6 Monday, February 4

 

Lecture: Factoring by completing the square (handout)

Irrational numbers such as square root of 5

 

Handouts: Completing the square

 

 

Class 7 Wednesday, February 6

 

Exam 1

 

Quiz 3 will cover the following topics:

Factoring
(GCF, factoring out -1, difference of squares theorem),

linear equations and inequalities

factoring by completing the square

 

 

Class 8 Monday, February 11

 

Lecture: Graph of an equation (handout)

Graphing straight lines by plotting points (3.2 Concept 2)

Perimeter and Area (handout, R.3 Concepts 1,2)

The Triangle Inequality

 

Homework: Problem Set 5

 

Handouts: Worksheet on Graphs of Equations

 

 

 

 

 

Class 9 Wednesday, February 13

 

Lecture: Multiple operations on polynomials (5.5, 5.6)

Simplifying Rational Expressions (7.1)

Factoring by Completing the Square 2 (linear coefficient is odd) (handout)

Solving systems of linear equations by elimination (4.3)

 

Homework: Problem Sets 6, 7

 

 

Class 10 Monday, February 18

 

Lecture: Rational Expressions (7.1, 7.2, 7.3, and 7.4)

Functions (8.2 Concepts 1, 3)

 

Homework: Problem Set 8

 

Class 11 Wednesday, February 20

 

Lecture: Adding and subtracting rational expressions (7.3, 7.4)

Addition and subtraction of radical expressions (11.4)

Multiplication of radical expressions (11.5)

 

Quiz 4

 

Quiz 5 will cover:

all material covered on Quizzes 1, 2, and 4 (Quiz 3 was cancelled)

factoring (GCF, difference of squares, by completing the square)

rational expressions (simplify, add, subtract, multiply, divide them)

radical expressions

graphing straight lines

systems of linear equations and applications

 

Homework: Problem Sets 9 and 10

 

 

Class 12 Monday, February 25

 

Lecture: Rationalizing the denominator in radical expressions (11.6)

Graphing a straight line using the slope-intercept form of its equation (3.4 Concept 2)

 

Homework: Problem Set 11

 

Handouts: Rational Expressions (Lecture Notes)

Radical Expressions (Lecture Notes)

Answers to Problem Sets 6, 7, 8, 9, and 10

 

 

 

Class 13 Wednesday, February 27

 

Lecture: Review of Formulas (2.6)

The slope-intercept form of a line (3.4)

Writing equation of a line, given a point and the slope (3.5)

 

 

Quiz 5

 

Handouts: Review for Exam 2 (same as Midterm Exam)

 

 

Class 14 Monday, March 3, 2008

 

Lecture: Performing multiple operations on radical expressions (handout)

Parallel and Perpendicular lines (3.3 Concept 3)